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Finding the Fourth Proportional to 6,332.40, 9,491.76 and 3,043.44

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Solution

The fourth proportional to 6,332.40, 9,491.76 and 3,043.44 is: 4,561.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.40 : 9,491.76 = 3,043.44 : x
  2. Step 2: Convert to fraction form
    6,332.40/9,491.76 = 3,043.44/x
  3. Step 3: Cross multiply
    6,332.40x = 9,491.76 × 3,043.44
  4. Step 4: Simplify right side
    6,332.40x = 28,887,602.05
  5. Step 5: Solve for x
    x = 28,887,602.05/6,332.40
  6. Step 6: Final answer
    x = 4,561.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.